Exact solitary wave solutions of the Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation

DOI10.1016/j.amc.2009.05.007zbMath1203.35245OpenAlexW2051503474MaRDI QIDQ609259

Ming Song, Chen Xi Yang, Ben-Gong Zhang

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.007

zbMATH Keywords

solitary wave solutionsbifurcation of phase portraitsKadomtsov-Petviashvili-Benjamin-Bona-Mahony equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Soliton solutions (35C08)

Related Items (20)

New dark-bright soliton in the shallow water wave model ⋮ EXACT TRAVELING WAVE SOLUTIONS FOR THE LOCAL FRACTIONAL KADOMTSOV–PETVIASHVILI–BENJAMIN–BONA–MAHONY MODEL BY VARIATIONAL PERSPECTIVE ⋮ Some new nonlinear wave solutions for two \((3+1)\)-dimensional equations ⋮ Exact solutions and conservation laws of a \((2 + 1)\)-dimensional nonlinear KP-BBM equation ⋮ Riemann theta solutions and their asymptotic property for a \((3+1)\)-dimensional water wave equation ⋮ Exact solitary wave solutions of the generalized \((2+1)\) dimensional Boussinesq equation ⋮ Application of the bifurcation method to the Whitham-Broer-Kaup-like equations ⋮ New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations ⋮ New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces ⋮ Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation ⋮ Singular soliton solution and bifurcation analysis of Klein-Gordon equation with power law nonlinearity ⋮ Traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation ⋮ Periodic wave solutions and their limits for the generalized KP-BBM equation ⋮ Bifurcations of travelling wave solutions for the generalized KP-BBM equation ⋮ Numerical simulation of Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equations using finite difference method ⋮ Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa–Holm–Kadomtsev–Petviashvili equation ⋮ Soliton solution and bifurcation analysis of the KP–Benjamin–Bona–Mahoney equation with power law nonlinearity ⋮ Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure ⋮ Analytical and multishaped solitary wave solutions for extended reduced Ostrovsky equation ⋮ Lie symmetries and dynamical behavior of soliton solutions of KP-BBM equation

Cites Work

• Unnamed Item
• Unnamed Item
• A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
• New exact solutions for two nonlinear equations
• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• The application of bifurcation method to a higher-order KdV equation
• Four types of bounded wave solutions of CH-\(\gamma\) equation
• Exact solutions of compact and noncompact structures for the KP-BBM equation
• Solitary wave solutions and kink wave solutions for a generalized PC equation
• PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

This page was built for publication: Exact solitary wave solutions of the Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation